Homework assignment 2.
Suggested due date: Thursday, September 3 2015 at 04:15pm
1. Calculate the exact values for (if possible)
2
A
0
1
3
0
1
B 1
4
2
1
1
2 C 0
3
4
0
1
2
1
4
2 D 2
0
0
3
0
1
1
2
1
= 3, =-2.
a.
b.
c.
d.
e.
f.
g.
h.
i.
j.
k.
l.
m.
n

Homework assignment 5:
Suggested due date: Tuesday, September 29 2015 at 04:15pm
1. Find the solutions to the system ( Draw the lines, and show the intersections except part e)
a)
x y = -2
x+y=2
b)
Y
=6
2x - 3y = -3
c)
x =0
y = -2
-4x + y =-2
d)
x =5
y =

Homework assignment 8.
1. Find a proper interval for the below function as the starting step of the false position
(regula falsi) method.
f1 ( x ) x 3
f 2 ( x) x 2 9 x 6
f 3 ( x)
2 x | x |
1
x 2 16
f 4 ( x)
2x3 | x |
7 x 2
x 2 1
1
f 5 ( x) sin( )
x
2. E

Homework assignment 6:
1. What is the rank of the below matrices?
2. Find the inverse of the below matrices:
a. by changing the matrix to the augmented form (A|I) (Then apply Gauss-Jordan procedure to find the
inverse)
b. using the formula you learned in

Homework assignment 9. (Or programming assignment 6)
1.a. find the straight line that best fits the following data: (of the form f(x)= ax+b) (using
the least square method)
(For programming: define a function to find the best coefficients for f(x)
1.b. Ca

Homework assignment 1.
Suggested due date: Thursday, August 27 2015 at 04:15pm
1. Given the below matrices
1 2 7
2 1 0 3
A 5 0 1 , B 4 0 7 2
0 4 3
5 6 8 0
Calculate: (if possible)
a. a12
b. a21
c. a32
d. b32
e. b42
f. b24
g. a2,
h. a2,
i. b4,
j. A+B
k

Homework assignment 5:
1. Find the solutions to the system (write each linear system as an augmented matrix and then change it
to an echelon form).
a)
3x-5y = 1
2x+4y = 8
b)
-6x-y-2 = 0
5x+2y = 7
c)
x+3y+6z = 5
2x+7y+4z = 2
2z+5y = -3
d)
-2z+5x = 3
5x+3y-

Homework assignment 4:
1. Find the solutions to the system
2. Draw the lines, and show the intersections
a)
3x-5y= 1
2x+4y= 8
b)
-x-y= -2
x+y= 2
c)
y= 6
2x-3y= -3
d)
x= 0
y= -2
-4x+y=-2
e)
x= 5
y= -2
-4x+y=1
f)
x+3y+6z= 25
2x+7y+14z= 58
2y+5z= 19